Question

Pls help!!!!! 70 points

1. A poll asked 15 men in two age groups, 30 and younger and older than 30, whether they had facial hair (mustache, beard, sideburns, etc.). The results are recorded in the table.

Person Age group Facial hair
1 30 and younger No
2 30 and younger Yes
3 Older than 30 Yes
4 30 and younger Yes
5 Older than 30 No
6 Older than 30 No
7 Older than 30 No
8 Older than 30 No
9 30 and younger No
10 30 and younger No
11 Older than 30 Yes
12 30 and younger Yes
13 Older than 30 Yes
14 30 and younger No
15 Older than 30 Yes

(a) Create a two-way table of the data. Of the men surveyed, how many were 30 and younger? How many men did not have facial hair?
(b) Create a two-way relative frequency table that displays the relative frequency of the men 30 and younger and of the men older than 30 who had or did not have facial hair. Express your answers as decimals written to three decimal places.
(c) What percentage of men older than 30 had facial hair?
Answer:

Answer 1

a) The two-way table of the data is as follows:

*Image Attached*

Of the men surveyed, 10 were 30 and younger and 15 were older than 30. Nine men did not have facial hair and 16 men had facial hair.

b) The two-way relative frequency table is as follows:

*Image Attached*

The relative frequency of the men 30 and younger who did not have facial hair is 0.200 (5 / 10).

The relative frequency of the men 30 and younger who had facial hair is 0.200 (5 / 10).

The relative frequency of the men older than 30 who did not have facial hair is 0.267 (4 / 15).

The relative frequency of the men older than 30 who had facial hair is 0.733 (11 / 15).

c) The percentage of men older than 30 who had facial hair is 73.3%.

To find the percentage of men older than 30 who had facial hair, we need to divide the number of men who had facial hair in that age group by the total number of men in that age group and multiply by 100.

11 / 15 * 100 = 73.3%

So, 73.3% of men older than 30 had facial hair.

________________________________________________________